TSTP Solution File: LCL753-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL753-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:57:32 EDT 2022
% Result : Timeout 300.04s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL753-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jul 4 13:19:16 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.88/1.26 *** allocated 10000 integers for termspace/termends
% 0.88/1.26 *** allocated 10000 integers for clauses
% 0.88/1.26 *** allocated 10000 integers for justifications
% 0.88/1.26 *** allocated 15000 integers for termspace/termends
% 0.88/1.26 Bliksem 1.12
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 Automatic Strategy Selection
% 0.88/1.26
% 0.88/1.26 Clauses:
% 0.88/1.26 [
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.26 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.26 , T, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.26 , Z, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.26 , T, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.26 , Z, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.26 ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.26 ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.88/1.26 ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.26 ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.26 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.26 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.88/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.26 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.26 , T, X ), X ), T, X ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.26 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.88/1.26 Y, Z, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.26 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.88/1.26 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.26 'tc_nat' ), X ) ) ],
% 0.88/1.26 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), 'c_Lambda_Olift'(
% 0.88/1.26 'c_Lambda_Oliftn'( X, Y, Z ), Z ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.26 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.26 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.26 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.88/1.26 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.88/1.26 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.88/1.26 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.26 , X ), W, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.88/1.26 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.88/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.88/1.26 W, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.88/1.26 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.88/1.26 , X ), T, X ), W, X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.26 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.88/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.88/1.26 W, X ), X ) ) ],
% 0.88/1.26 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.26 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.88/1.26 X ), Y ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.26 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.88/1.26 X ), Y ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.26 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.26 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.26 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.88/1.26 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.88/1.26 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.88/1.26 Z, X ) ) ],
% 0.88/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.26 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.26 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.26 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.26 ,
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.26 ,
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.26 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.26 Z, T, X ), X ) ) ],
% 0.88/1.26 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.88/1.26 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 0.88/1.26 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.88/1.26 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.26 ,
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.88/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.26 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.26 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.26 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.26 ,
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.26 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.26 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.26 ,
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.26 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.26 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.88/1.26 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.26 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.88/1.26 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.88/1.26 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.88/1.26 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.88/1.26 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.26 ), X ) ],
% 0.88/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.88/1.26 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.88/1.26 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.88/1.26 X ), Z, X ) ) ],
% 0.88/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.88/1.26 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.88/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.88/1.26 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.88/1.26 ,
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.88/1.26 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.26 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.88/1.26 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.88/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.88/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.26 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.88/1.26 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.26 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.88/1.26 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.26 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.26 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.26 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y,
% 0.88/1.26 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.26 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.26 X ) ) ],
% 0.88/1.26 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.26 X, T, 'tc_nat' ) ],
% 0.88/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.26 X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.26 X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.26 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.26 ) ],
% 0.88/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.26 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.88/1.26 ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.88/1.26 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.88/1.26 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.88/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.88/1.26 , X, 'tc_nat' ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.88/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.26 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.26 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.88/1.26 , X ), T, X ), W, X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.88/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.26 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.88/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.26 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.26 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.26 , X ), W, X ), X ) ) ],
% 0.88/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.26 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.88/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.26 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.88/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.26 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.88/1.26 ],
% 0.88/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.26 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.88/1.26 ],
% 0.88/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.88/1.26 Y, 'tc_nat' ) ) ],
% 0.88/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.26 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.88/1.26 ],
% 0.88/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.26 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.88/1.26 ],
% 0.88/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.88/1.26 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.88/1.26 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.88/1.26 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.88/1.26 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.88/1.26 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.88/1.27 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.27 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.88/1.27 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 0.88/1.27 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.88/1.27 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.27 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.27 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.27 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.27 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.27 , X ), W, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.88/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.88/1.27 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.88/1.27 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.88/1.27 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.88/1.27 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.27 Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.88/1.27 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.88/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.88/1.27 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.88/1.27 ), X ), Y ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.88/1.27 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.88/1.27 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.88/1.27 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.88/1.27 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.88/1.27 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.88/1.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.27 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.88/1.27 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.88/1.27 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.88/1.27 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.88/1.27 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.88/1.27 , Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.27 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.27 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.27 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.88/1.27 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.88/1.27 X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.88/1.27 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 0.88/1.27 ), X, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.88/1.27 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.27 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.88/1.27 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.88/1.27 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.88/1.27 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.88/1.27 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.88/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.88/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.88/1.27 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.88/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.88/1.27 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.88/1.27 X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.88/1.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.27 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.88/1.27 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.27 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.27 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.88/1.27 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.27 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.27 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.88/1.27 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.88/1.27 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.27 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.88/1.27 ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.88/1.27 ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.88/1.27 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.88/1.27 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 0.88/1.27 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.27 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.88/1.27 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.88/1.27 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.88/1.27 ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.27 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.88/1.27 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.88/1.27 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.27 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.88/1.27 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , T, X ), X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.88/1.27 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.27 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.27 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.27 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.88/1.27 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.88/1.27 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.88/1.27 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.88/1.27 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.88/1.27 , X, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.27 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.88/1.27 , Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.27 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.27 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.88/1.27 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.27 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.27 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.88/1.27 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.88/1.27 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.88/1.27 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.88/1.27 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.88/1.27 , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Z, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Z, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.88/1.27 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.88/1.27 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.88/1.27 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.88/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.88/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.88/1.27 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.27 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.88/1.27 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.88/1.27 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.88/1.27 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.88/1.27 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Y, X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.88/1.27 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.27 X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.27 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.27 X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.27 X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.27 X ) ) ), =( Y, T ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.88/1.27 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 0.88/1.27 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.88/1.27 , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.88/1.27 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OApp'( Y, Z ), T ),
% 0.88/1.27 'c_Lambda_OdB_OApp'( 'c_Lambda_Oliftn'( X, Y, T ), 'c_Lambda_Oliftn'( X,
% 0.88/1.27 Z, T ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.88/1.27 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.88/1.27 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.88/1.27 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.27 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.88/1.27 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.88/1.27 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.88/1.27 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.88/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.88/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.88/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.88/1.27 , X ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.88/1.27 , X ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.88/1.27 , X, 'tc_nat' ), X ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.88/1.27 ), 'tc_nat' ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.88/1.27 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ), 'c_Lambda_Osubstn'( Y
% 0.88/1.27 , Z, T ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.27 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.27 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.88/1.27 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.88/1.27 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.88/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.27 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.88/1.27 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Olift'( 'c_Lambda_Olift'( X, Y ), 'c_Suc'( Z ) ),
% 0.88/1.27 'c_Lambda_Olift'( 'c_Lambda_Olift'( X, Z ), Y ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Olift'( 'c_Lambda_Osubst'( X, Y, Z ), T ),
% 0.88/1.27 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, 'c_HOL_Oplus__class_Oplus'( T,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'c_Lambda_Olift'( Y,
% 0.88/1.27 T ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 T, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.88/1.27 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.88/1.27 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.88/1.27 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.88/1.27 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Osubst'( X, 'c_Lambda_Olift'( Y, Z ),
% 0.88/1.27 'c_Suc'( T ) ), 'c_Lambda_Osubst'( U, Y, T ), Z ), 'c_Lambda_Osubst'(
% 0.88/1.27 'c_Lambda_Osubst'( X, U, Z ), Y, T ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.88/1.27 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.88/1.27 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubst'( X, 'c_Lambda_Olift'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.88/1.27 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.88/1.27 , 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Olift'( 'c_Lambda_Osubst'( X, Y, Z ), T ),
% 0.88/1.27 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, T ), 'c_Lambda_Olift'( Y, T ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.88/1.27 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.88/1.27 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.88/1.27 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.88/1.27 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.88/1.27 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.88/1.27 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.88/1.27 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.88/1.27 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.27 ), =( Z, Y ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.27 ) ],
% 0.88/1.27 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.88/1.27 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.88/1.27 =( Y, T ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.88/1.27 =( X, Z ) ],
% 0.88/1.27 [ =( 'c_List_Olast'( 'c_List_Oupt'( X, Y ), 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.88/1.27 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.88/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.88/1.27 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.88/1.27 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.88/1.27 ), Y, X ) ), =( Z, T ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.88/1.27 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.88/1.27 ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.88/1.27 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.88/1.27 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.88/1.27 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.88/1.27 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.88/1.27 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.88/1.27 ],
% 0.88/1.27 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.88/1.27 'c_Lambda_OdB_OAbs'( 'c_Lambda_Olift'( X, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.88/1.27 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.88/1.27 Z, T ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.88/1.27 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.88/1.27 'c_InductTermi_OIT'( X ) ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.88/1.27 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.88/1.27 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.88/1.27 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.88/1.27 'tc_nat' ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.88/1.27 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.88/1.27 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.88/1.27 'c_InductTermi_OIT'( X ) ) ],
% 0.88/1.27 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.88/1.27 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.88/1.27 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.88/1.27 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.88/1.27 [ 'c_InductTermi_OIT'( 'v_ra' ) ],
% 0.88/1.27 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_ra', 'c_Lambda_OdB_OVar'( X
% 0.88/1.27 ), Y ) ) ],
% 0.88/1.27 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OAbs'( 'v_ra'
% 0.88/1.27 ), 'c_Lambda_OdB_OVar'( 'v_ia' ), 'v_ja' ) ) ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Power_Opower'( 'tc_nat' ) ]
% 0.92/1.51 ] .
% 0.92/1.51
% 0.92/1.51
% 0.92/1.51 percentage equality = 0.241379, percentage horn = 0.884735
% 0.92/1.51 This is a problem with some equality
% 0.92/1.51
% 0.92/1.51
% 0.92/1.51
% 0.92/1.51 Options Used:
% 0.92/1.51
% 0.92/1.51 useres = 1
% 0.92/1.51 useparamod = 1
% 0.92/1.51 useeqrefl = 1
% 0.92/1.51 useeqfact = 1
% 0.92/1.51 usefactor = 1
% 0.92/1.51 usesimpsplitting = 0
% 0.92/1.51 usesimpdemod = 5
% 0.92/1.51 usesimpres = 3
% 0.92/1.51
% 0.92/1.51 resimpinuse = 1000
% 0.92/1.51 resimpclauses = 20000
% 0.92/1.51 substype = eqrewr
% 0.92/1.51 backwardsubs = 1
% 0.92/1.51 selectoldest = 5
% 0.92/1.51
% 0.92/1.51 litorderings [0] = split
% 0.92/1.51 litorderings [1] = extend the termordering, first sorting on arguments
% 0.92/1.51
% 0.92/1.51 termordering = kbo
% 0.92/1.51
% 0.92/1.51 litapriori = 0
% 0.92/1.51 termapriori = 1
% 0.92/1.51 litaposteriori = 0
% 0.92/1.51 termaposteriori = 0
% 0.92/1.51 demodaposteriori = 0
% 0.92/1.51 ordereqreflfact = 0
% 0.92/1.51
% 0.92/1.51 litselect = negord
% 0.92/1.51
% 0.92/1.51 maxweight = 15
% 0.92/1.51 maxdepth = 30000
% 0.92/1.51 maxlength = 115
% 0.92/1.51 maxnrvars = 195
% 0.92/1.51 excuselevel = 1
% 0.92/1.51 increasemaxweight = 1
% 0.92/1.51
% 0.92/1.51 maxselected = 10000000
% 0.92/1.51 maxnrclauses = 10000000
% 0.92/1.51
% 0.92/1.51 showgenerated = 0
% 0.92/1.51 showkept = 0
% 0.92/1.51 showselected = 0
% 0.92/1.51 showdeleted = 0
% 0.92/1.51 showresimp = 1
% 0.92/1.51 showstatus = 2000
% 0.92/1.51
% 0.92/1.51 prologoutput = 1
% 0.92/1.51 nrgoals = 5000000
% 0.92/1.51 totalproof = 1
% 0.92/1.51
% 0.92/1.51 Symbols occurring in the translation:
% 0.92/1.51
% 0.92/1.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.92/1.51 . [1, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.92/1.51 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 0.92/1.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Oidom' [40, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.92/1.51 'class_Int_Onumber__ring' [41, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.92/1.51 'c_HOL_Oplus__class_Oplus' [44, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.92/1.51 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.92/1.51 'tc_nat' [48, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Oordered__semiring__strict' [49, 1] (w:1, o:
% 0.92/1.51 67, a:1, s:1, b:0),
% 0.92/1.51 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.92/1.51 'c_lessequals' [53, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.92/1.51 'c_HOL_Otimes__class_Otimes' [54, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Oordered__semiring' [55, 1] (w:1, o:68, a:1
% 0.92/1.51 , s:1, b:0),
% 0.92/1.51 'class_OrderedGroup_Oab__group__add' [56, 1] (w:1, o:70, a:1, s:1, b:
% 0.92/1.51 0),
% 0.92/1.51 'c_HOL_Ominus__class_Ominus' [57, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.92/1.51 'class_OrderedGroup_Ogroup__add' [58, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.92/1.51
% 0.92/1.51 'class_Divides_Osemiring__div' [59, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.92/1.51 'c_Divides_Odiv__class_Omod' [60, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.92/1.51 'class_OrderedGroup_Omonoid__mult' [61, 1] (w:1, o:75, a:1, s:1, b:0)
% 0.92/1.51 ,
% 0.92/1.51 'c_Power_Opower__class_Opower' [62, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Ocomm__semiring__1' [63, 1] (w:1, o:76, a:1
% 0.92/1.51 , s:1, b:0),
% 0.92/1.51 'c_Suc' [66, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.92/1.51 'c_Lambda_Oliftn' [69, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.92/1.51 'c_Lambda_Olift' [70, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Oordered__field' [71, 1] (w:1, o:78, a:1, s:1
% 0.92/1.51 , b:0),
% 0.92/1.51 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:80, a:1
% 0.92/1.51 , s:1, b:0),
% 0.92/1.51 'c_HOL_Oinverse__class_Oinverse' [73, 2] (w:1, o:144, a:1, s:1, b:0)
% 0.92/1.51 ,
% 0.92/1.51 'c_HOL_Oone__class_Oone' [74, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.92/1.51 'class_OrderedGroup_Opordered__comm__monoid__add' [75, 1] (w:1, o:82
% 0.92/1.51 , a:1, s:1, b:0),
% 0.92/1.51 'class_OrderedGroup_Olordered__ab__group__add' [77, 1] (w:1, o:74, a:
% 0.92/1.51 1, s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Opordered__ring' [80, 1] (w:1, o:86, a:1, s:1
% 0.92/1.51 , b:0),
% 0.92/1.51 'class_Ring__and__Field_Oring__no__zero__divisors' [83, 1] (w:1, o:87
% 0.92/1.51 , a:1, s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Ono__zero__divisors' [84, 1] (w:1, o:65, a:1
% 0.92/1.51 , s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Oordered__idom' [87, 1] (w:1, o:83, a:1, s:1
% 0.92/1.51 , b:0),
% 0.92/1.51 'class_Ring__and__Field_Oordered__ring__strict' [88, 1] (w:1, o:66
% 0.92/1.51 , a:1, s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Oordered__semidom' [89, 1] (w:1, o:84, a:1
% 0.92/1.51 , s:1, b:0),
% 0.92/1.51 'class_Ring__and__Field_Ozero__neq__one' [92, 1] (w:1, o:88, a:1, s:1
% 0.92/1.51 , b:0),
% 0.92/1.51 'class_Ring__and__Field_Odivision__ring' [95, 1] (w:1, o:89, a:1, s:1
% 10.91/11.30 , b:0),
% 10.91/11.30 'class_Ring__and__Field_Omult__zero' [100, 1] (w:1, o:62, a:1, s:1
% 10.91/11.30 , b:0),
% 10.91/11.30 'class_Nat_Osemiring__char__0' [101, 1] (w:1, o:69, a:1, s:1, b:0),
% 10.91/11.30 'c_Nat_Osemiring__1__class_Oof__nat' [102, 2] (w:1, o:145, a:1, s:1
% 10.91/11.30 , b:0),
% 10.91/11.30 'class_OrderedGroup_Ocomm__monoid__add' [104, 1] (w:1, o:90, a:1, s:1
% 10.91/11.30 , b:0),
% 10.91/11.30 'c_Lambda_OdB_OAbs' [105, 1] (w:1, o:91, a:1, s:1, b:0),
% 10.91/11.30 'c_Lambda_Osubstn' [107, 3] (w:1, o:159, a:1, s:1, b:0),
% 10.91/11.30 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [109, 1]
% 10.91/11.30 (w:1, o:92, a:1, s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Oring' [110, 1] (w:1, o:93, a:1, s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Osemiring__0' [111, 1] (w:1, o:96, a:1, s:1
% 10.91/11.30 , b:0),
% 10.91/11.30 'class_Power_Opower' [112, 1] (w:1, o:110, a:1, s:1, b:0),
% 10.91/11.30 'class_OrderedGroup_Ocomm__monoid__mult' [113, 1] (w:1, o:97, a:1, s:
% 10.91/11.30 1, b:0),
% 10.91/11.30 'c_Lambda_Osubst' [114, 3] (w:1, o:160, a:1, s:1, b:0),
% 10.91/11.30 'class_OrderedGroup_Opordered__ab__semigroup__add' [115, 1] (w:1, o:
% 10.91/11.30 98, a:1, s:1, b:0),
% 10.91/11.30 'class_Orderings_Opreorder' [116, 1] (w:1, o:100, a:1, s:1, b:0),
% 10.91/11.30 'c_Lambda_OdB_OVar' [117, 1] (w:1, o:111, a:1, s:1, b:0),
% 10.91/11.30 'class_Orderings_Oorder' [118, 1] (w:1, o:99, a:1, s:1, b:0),
% 10.91/11.30 'class_Divides_Oring__div' [119, 1] (w:1, o:72, a:1, s:1, b:0),
% 10.91/11.30 'class_OrderedGroup_Opordered__ab__group__add' [120, 1] (w:1, o:101
% 10.91/11.30 , a:1, s:1, b:0),
% 10.91/11.30 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [121, 1]
% 10.91/11.30 (w:1, o:102, a:1, s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Ofield' [122, 1] (w:1, o:112, a:1, s:1, b:0)
% 10.91/11.30 ,
% 10.91/11.30 'class_OrderedGroup_Oab__semigroup__idem__mult' [123, 1] (w:1, o:103
% 10.91/11.30 , a:1, s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Oring__1__no__zero__divisors' [124, 1] (w:1
% 10.91/11.30 , o:94, a:1, s:1, b:0),
% 10.91/11.30 'class_OrderedGroup_Oab__semigroup__add' [125, 1] (w:1, o:104, a:1
% 10.91/11.30 , s:1, b:0),
% 10.91/11.30 'class_Orderings_Olinorder' [127, 1] (w:1, o:105, a:1, s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Osemiring__1' [128, 1] (w:1, o:113, a:1, s:1
% 10.91/11.30 , b:0),
% 10.91/11.30 'class_Ring__and__Field_Osemiring' [129, 1] (w:1, o:114, a:1, s:1, b:
% 10.91/11.30 0),
% 10.91/11.30 'class_Ring__and__Field_Opordered__cancel__semiring' [130, 1] (w:1
% 10.91/11.30 , o:115, a:1, s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Oring__1' [131, 1] (w:1, o:95, a:1, s:1, b:0)
% 10.91/11.30 ,
% 10.91/11.30 'class_Ring__and__Field_Omult__mono' [132, 1] (w:1, o:63, a:1, s:1
% 10.91/11.30 , b:0),
% 10.91/11.30 'class_Ring__and__Field_Omult__mono1' [133, 1] (w:1, o:64, a:1, s:1
% 10.91/11.30 , b:0),
% 10.91/11.30 'class_OrderedGroup_Oab__semigroup__mult' [137, 1] (w:1, o:106, a:1
% 10.91/11.30 , s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Ocomm__semiring' [138, 1] (w:1, o:79, a:1, s:
% 10.91/11.30 1, b:0),
% 10.91/11.30 'class_OrderedGroup_Ocancel__ab__semigroup__add' [139, 1] (w:1, o:107
% 10.91/11.30 , a:1, s:1, b:0),
% 10.91/11.30 'class_OrderedGroup_Ocancel__semigroup__add' [140, 1] (w:1, o:108, a:
% 10.91/11.30 1, s:1, b:0),
% 10.91/11.30 'c_Lambda_OdB_OApp' [141, 2] (w:1, o:146, a:1, s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Oordered__comm__semiring__strict' [142, 1]
% 10.91/11.30 (w:1, o:85, a:1, s:1, b:0),
% 10.91/11.30 'class_Ring__and__Field_Opordered__semiring' [143, 1] (w:1, o:116, a:
% 10.91/11.30 1, s:1, b:0),
% 10.91/11.30 'class_OrderedGroup_Omonoid__add' [144, 1] (w:1, o:109, a:1, s:1, b:0
% 10.91/11.30 ),
% 10.91/11.30 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [145, 2] (w:1, o:147, a:1
% 10.91/11.30 , s:1, b:0),
% 10.91/11.30 'c_Lambda_Obeta' [146, 2] (w:1, o:148, a:1, s:1, b:0),
% 10.91/11.30 'c_List_Oupt' [153, 2] (w:1, o:149, a:1, s:1, b:0),
% 10.91/11.30 'c_List_Olast' [154, 2] (w:1, o:150, a:1, s:1, b:0),
% 10.91/11.30 'c_InductTermi_OIT' [157, 1] (w:1, o:117, a:1, s:1, b:0),
% 10.91/11.30 'v_ra' [158, 0] (w:1, o:51, a:1, s:1, b:0),
% 10.91/11.30 'v_ia' [159, 0] (w:1, o:52, a:1, s:1, b:0),
% 10.91/11.30 'v_ja' [160, 0] (w:1, o:53, a:1, s:1, b:0).
% 10.91/11.30
% 10.91/11.30
% 10.91/11.30 Starting Search:
% 10.91/11.30
% 10.91/11.30 Resimplifying inuse:
% 10.91/11.30 Done
% 10.91/11.30
% 10.91/11.30
% 10.91/11.30 Intermediate Status:
% 10.91/11.30 Generated: 4004
% 10.91/11.30 Kept: 2093
% 10.91/11.30 Inuse: 113
% 10.91/11.30 Deleted: 3
% 10.91/11.30 Deletedinuse: 0
% 10.91/11.30
% 10.91/11.30 Resimplifying inuse:
% 10.91/11.30 Done
% 10.91/11.30
% 10.91/11.30 Resimplifying inuse:
% 10.91/11.30 Done
% 10.91/11.30
% 10.91/11.30
% 10.91/11.30 Intermediate Status:
% 10.91/11.30 Generated: 12029
% 10.91/11.30 Kept: 4096
% 10.91/11.30 Inuse: 171
% 10.91/11.30 Deleted: 3
% 10.91/11.30 Deletedinuse: 0
% 10.91/11.30
% 10.91/11.30 Resimplifying inuse:
% 10.91/11.30 Done
% 10.91/11.30
% 10.91/11.30 Resimplifying inuse:
% 10.91/11.30 Done
% 10.91/11.30
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 23006
% 55.34/55.71 Kept: 6609
% 55.34/55.71 Inuse: 227
% 55.34/55.71 Deleted: 3
% 55.34/55.71 Deletedinuse: 0
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 35006
% 55.34/55.71 Kept: 8624
% 55.34/55.71 Inuse: 265
% 55.34/55.71 Deleted: 3
% 55.34/55.71 Deletedinuse: 0
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 45750
% 55.34/55.71 Kept: 10677
% 55.34/55.71 Inuse: 314
% 55.34/55.71 Deleted: 7
% 55.34/55.71 Deletedinuse: 0
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 57730
% 55.34/55.71 Kept: 12738
% 55.34/55.71 Inuse: 359
% 55.34/55.71 Deleted: 7
% 55.34/55.71 Deletedinuse: 0
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 69703
% 55.34/55.71 Kept: 14922
% 55.34/55.71 Inuse: 428
% 55.34/55.71 Deleted: 8
% 55.34/55.71 Deletedinuse: 0
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 78640
% 55.34/55.71 Kept: 16930
% 55.34/55.71 Inuse: 475
% 55.34/55.71 Deleted: 10
% 55.34/55.71 Deletedinuse: 1
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 89168
% 55.34/55.71 Kept: 18997
% 55.34/55.71 Inuse: 509
% 55.34/55.71 Deleted: 13
% 55.34/55.71 Deletedinuse: 1
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying clauses:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 99962
% 55.34/55.71 Kept: 21024
% 55.34/55.71 Inuse: 538
% 55.34/55.71 Deleted: 579
% 55.34/55.71 Deletedinuse: 2
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 108921
% 55.34/55.71 Kept: 23115
% 55.34/55.71 Inuse: 570
% 55.34/55.71 Deleted: 616
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 123814
% 55.34/55.71 Kept: 25146
% 55.34/55.71 Inuse: 631
% 55.34/55.71 Deleted: 617
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 137257
% 55.34/55.71 Kept: 27212
% 55.34/55.71 Inuse: 684
% 55.34/55.71 Deleted: 622
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 152003
% 55.34/55.71 Kept: 30526
% 55.34/55.71 Inuse: 719
% 55.34/55.71 Deleted: 622
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 169578
% 55.34/55.71 Kept: 32737
% 55.34/55.71 Inuse: 754
% 55.34/55.71 Deleted: 622
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 193283
% 55.34/55.71 Kept: 34887
% 55.34/55.71 Inuse: 784
% 55.34/55.71 Deleted: 622
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 210618
% 55.34/55.71 Kept: 36912
% 55.34/55.71 Inuse: 837
% 55.34/55.71 Deleted: 622
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 225051
% 55.34/55.71 Kept: 39252
% 55.34/55.71 Inuse: 857
% 55.34/55.71 Deleted: 622
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying clauses:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 238769
% 55.34/55.71 Kept: 41707
% 55.34/55.71 Inuse: 904
% 55.34/55.71 Deleted: 2170
% 55.34/55.71 Deletedinuse: 6
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 249776
% 55.34/55.71 Kept: 43820
% 55.34/55.71 Inuse: 914
% 55.34/55.71 Deleted: 2172
% 55.34/55.71 Deletedinuse: 8
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 259846
% 55.34/55.71 Kept: 45868
% 55.34/55.71 Inuse: 934
% 55.34/55.71 Deleted: 2173
% 55.34/55.71 Deletedinuse: 9
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 278394
% 55.34/55.71 Kept: 48914
% 55.34/55.71 Inuse: 959
% 55.34/55.71 Deleted: 2173
% 55.34/55.71 Deletedinuse: 9
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 292546
% 55.34/55.71 Kept: 50985
% 55.34/55.71 Inuse: 1002
% 55.34/55.71 Deleted: 2174
% 55.34/55.71 Deletedinuse: 9
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 302784
% 55.34/55.71 Kept: 53113
% 55.34/55.71 Inuse: 1017
% 55.34/55.71 Deleted: 2174
% 55.34/55.71 Deletedinuse: 9
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 317184
% 55.34/55.71 Kept: 55119
% 55.34/55.71 Inuse: 1039
% 55.34/55.71 Deleted: 2174
% 55.34/55.71 Deletedinuse: 9
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 334121
% 55.34/55.71 Kept: 57225
% 55.34/55.71 Inuse: 1072
% 55.34/55.71 Deleted: 2175
% 55.34/55.71 Deletedinuse: 9
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 55.34/55.71 Done
% 55.34/55.71
% 55.34/55.71
% 55.34/55.71 Intermediate Status:
% 55.34/55.71 Generated: 349104
% 55.34/55.71 Kept: 59226
% 55.34/55.71 Inuse: 1098
% 55.34/55.71 Deleted: 2175
% 55.34/55.71 Deletedinuse: 9
% 55.34/55.71
% 55.34/55.71 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying clauses:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 364088
% 136.76/137.15 Kept: 61243
% 136.76/137.15 Inuse: 1123
% 136.76/137.15 Deleted: 3492
% 136.76/137.15 Deletedinuse: 10
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 381542
% 136.76/137.15 Kept: 63268
% 136.76/137.15 Inuse: 1164
% 136.76/137.15 Deleted: 3494
% 136.76/137.15 Deletedinuse: 12
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 394613
% 136.76/137.15 Kept: 65271
% 136.76/137.15 Inuse: 1188
% 136.76/137.15 Deleted: 3494
% 136.76/137.15 Deletedinuse: 12
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 439649
% 136.76/137.15 Kept: 67339
% 136.76/137.15 Inuse: 1212
% 136.76/137.15 Deleted: 3494
% 136.76/137.15 Deletedinuse: 12
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 454038
% 136.76/137.15 Kept: 69536
% 136.76/137.15 Inuse: 1237
% 136.76/137.15 Deleted: 3494
% 136.76/137.15 Deletedinuse: 12
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 470060
% 136.76/137.15 Kept: 71982
% 136.76/137.15 Inuse: 1267
% 136.76/137.15 Deleted: 3494
% 136.76/137.15 Deletedinuse: 12
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 486490
% 136.76/137.15 Kept: 74394
% 136.76/137.15 Inuse: 1282
% 136.76/137.15 Deleted: 3494
% 136.76/137.15 Deletedinuse: 12
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 498005
% 136.76/137.15 Kept: 76596
% 136.76/137.15 Inuse: 1284
% 136.76/137.15 Deleted: 3498
% 136.76/137.15 Deletedinuse: 13
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 510152
% 136.76/137.15 Kept: 78851
% 136.76/137.15 Inuse: 1289
% 136.76/137.15 Deleted: 3498
% 136.76/137.15 Deletedinuse: 13
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 525386
% 136.76/137.15 Kept: 81208
% 136.76/137.15 Inuse: 1296
% 136.76/137.15 Deleted: 3501
% 136.76/137.15 Deletedinuse: 13
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying clauses:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 557549
% 136.76/137.15 Kept: 84861
% 136.76/137.15 Inuse: 1324
% 136.76/137.15 Deleted: 4471
% 136.76/137.15 Deletedinuse: 13
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 568990
% 136.76/137.15 Kept: 87352
% 136.76/137.15 Inuse: 1330
% 136.76/137.15 Deleted: 4496
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 583775
% 136.76/137.15 Kept: 89390
% 136.76/137.15 Inuse: 1336
% 136.76/137.15 Deleted: 4509
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 594126
% 136.76/137.15 Kept: 91646
% 136.76/137.15 Inuse: 1355
% 136.76/137.15 Deleted: 4511
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 623074
% 136.76/137.15 Kept: 93650
% 136.76/137.15 Inuse: 1361
% 136.76/137.15 Deleted: 4511
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 641162
% 136.76/137.15 Kept: 96200
% 136.76/137.15 Inuse: 1370
% 136.76/137.15 Deleted: 4511
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 655673
% 136.76/137.15 Kept: 98272
% 136.76/137.15 Inuse: 1390
% 136.76/137.15 Deleted: 4511
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 669357
% 136.76/137.15 Kept: 100372
% 136.76/137.15 Inuse: 1420
% 136.76/137.15 Deleted: 4511
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying clauses:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 679499
% 136.76/137.15 Kept: 102430
% 136.76/137.15 Inuse: 1440
% 136.76/137.15 Deleted: 5611
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 694894
% 136.76/137.15 Kept: 104438
% 136.76/137.15 Inuse: 1473
% 136.76/137.15 Deleted: 5611
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 716283
% 136.76/137.15 Kept: 107403
% 136.76/137.15 Inuse: 1490
% 136.76/137.15 Deleted: 5611
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 743258
% 136.76/137.15 Kept: 109831
% 136.76/137.15 Inuse: 1495
% 136.76/137.15 Deleted: 5611
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 798592
% 136.76/137.15 Kept: 111874
% 136.76/137.15 Inuse: 1500
% 136.76/137.15 Deleted: 5611
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 820420
% 136.76/137.15 Kept: 113876
% 136.76/137.15 Inuse: 1517
% 136.76/137.15 Deleted: 5611
% 136.76/137.15 Deletedinuse: 14
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15 Resimplifying inuse:
% 136.76/137.15 Done
% 136.76/137.15
% 136.76/137.15
% 136.76/137.15 Intermediate Status:
% 136.76/137.15 Generated: 832347
% 136.76/137.15 Kept: 115876
% 273.97/274.38 Inuse: 1540
% 273.97/274.38 Deleted: 5611
% 273.97/274.38 Deletedinuse: 14
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 859920
% 273.97/274.38 Kept: 119669
% 273.97/274.38 Inuse: 1565
% 273.97/274.38 Deleted: 5613
% 273.97/274.38 Deletedinuse: 16
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 877519
% 273.97/274.38 Kept: 122525
% 273.97/274.38 Inuse: 1570
% 273.97/274.38 Deleted: 5613
% 273.97/274.38 Deletedinuse: 16
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying clauses:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 894093
% 273.97/274.38 Kept: 124595
% 273.97/274.38 Inuse: 1575
% 273.97/274.38 Deleted: 6511
% 273.97/274.38 Deletedinuse: 16
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 909746
% 273.97/274.38 Kept: 126597
% 273.97/274.38 Inuse: 1601
% 273.97/274.38 Deleted: 6511
% 273.97/274.38 Deletedinuse: 16
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 926123
% 273.97/274.38 Kept: 128768
% 273.97/274.38 Inuse: 1625
% 273.97/274.38 Deleted: 6511
% 273.97/274.38 Deletedinuse: 16
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 946308
% 273.97/274.38 Kept: 130787
% 273.97/274.38 Inuse: 1659
% 273.97/274.38 Deleted: 6517
% 273.97/274.38 Deletedinuse: 22
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 972605
% 273.97/274.38 Kept: 135188
% 273.97/274.38 Inuse: 1675
% 273.97/274.38 Deleted: 6517
% 273.97/274.38 Deletedinuse: 22
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1007941
% 273.97/274.38 Kept: 137788
% 273.97/274.38 Inuse: 1685
% 273.97/274.38 Deleted: 6517
% 273.97/274.38 Deletedinuse: 22
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1043959
% 273.97/274.38 Kept: 140620
% 273.97/274.38 Inuse: 1695
% 273.97/274.38 Deleted: 6517
% 273.97/274.38 Deletedinuse: 22
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying clauses:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1060068
% 273.97/274.38 Kept: 142642
% 273.97/274.38 Inuse: 1708
% 273.97/274.38 Deleted: 7247
% 273.97/274.38 Deletedinuse: 22
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1074717
% 273.97/274.38 Kept: 144715
% 273.97/274.38 Inuse: 1725
% 273.97/274.38 Deleted: 7247
% 273.97/274.38 Deletedinuse: 22
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1097563
% 273.97/274.38 Kept: 147859
% 273.97/274.38 Inuse: 1745
% 273.97/274.38 Deleted: 7247
% 273.97/274.38 Deletedinuse: 22
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1115523
% 273.97/274.38 Kept: 149882
% 273.97/274.38 Inuse: 1757
% 273.97/274.38 Deleted: 7248
% 273.97/274.38 Deletedinuse: 23
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1171567
% 273.97/274.38 Kept: 154304
% 273.97/274.38 Inuse: 1765
% 273.97/274.38 Deleted: 7249
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1206768
% 273.97/274.38 Kept: 157305
% 273.97/274.38 Inuse: 1770
% 273.97/274.38 Deleted: 7249
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1221358
% 273.97/274.38 Kept: 159579
% 273.97/274.38 Inuse: 1790
% 273.97/274.38 Deleted: 7249
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1241930
% 273.97/274.38 Kept: 162766
% 273.97/274.38 Inuse: 1805
% 273.97/274.38 Deleted: 7249
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying clauses:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1254312
% 273.97/274.38 Kept: 164839
% 273.97/274.38 Inuse: 1820
% 273.97/274.38 Deleted: 7590
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1267311
% 273.97/274.38 Kept: 166929
% 273.97/274.38 Inuse: 1835
% 273.97/274.38 Deleted: 7590
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1280267
% 273.97/274.38 Kept: 168944
% 273.97/274.38 Inuse: 1850
% 273.97/274.38 Deleted: 7590
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1312907
% 273.97/274.38 Kept: 171478
% 273.97/274.38 Inuse: 1860
% 273.97/274.38 Deleted: 7590
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1335466
% 273.97/274.38 Kept: 174201
% 273.97/274.38 Inuse: 1870
% 273.97/274.38 Deleted: 7590
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1363174
% 273.97/274.38 Kept: 177717
% 273.97/274.38 Inuse: 1880
% 273.97/274.38 Deleted: 7590
% 273.97/274.38 Deletedinuse: 24
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38 Resimplifying inuse:
% 273.97/274.38 Done
% 273.97/274.38
% 273.97/274.38
% 273.97/274.38 Intermediate Status:
% 273.97/274.38 Generated: 1380182
% 273.97/274.38 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------